Biharmonic spline interpolation of GEOS‐3 and SEASAT altimeter data

Sandwell, David T.

doi:10.1029/gl014i002p00139

Cited by 651 publications

(376 citation statements)

References 8 publications

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“…3. Correlation fields for calculated volume transport vs. velocity components normal to the Svinøy section (v) in a regular grid with a horizontal resolution of 6 km and vertical resolution of 100 m, constructed from the 15 RCM records (&z.cirf;) using a bi-harmonic spline method (Sandwell, 1987). The grids obtained using [1,3,7,30]-day moving average filters, respectively, on (a) model period and (b) test period.…”

Section: Data and Analysis Methodsmentioning

confidence: 99%

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Monitoring the Norwegian Atlantic slope current using a single moored current meter

Orvik

Skagseth

2003

Continental Shelf Research

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Monitoring the Atlantic inflow (AI) of warm and saline water into the Nordic Seas (Norwegian, Greenland and Iceland Seas) is of great importance becauce of its impact on climate and ecology in Northern Europe and Arctic. In this study, an observation system for establishment of simple, robust and cost effective monitoring of the AI is validated in the Svinøy section, cutting through the AI just to the north of the FaroeShetland Channel. We concentrate on the eastern branch of the AI, the Norwegian Atlantic Slope Current (NwASC), an about 40 km wide flow along the steep Norwegian slope. The database is an array of 15 current meters on 4 moorings covering the NwASC over a 2-year period 1998-2000. We test the hypothesis that long-term monitoring of the NwASC can be performed by using one single current meter suitable placed in the flow. The volume flux can then be estimated by construction of simple regression models using the single current meter record as the independent variable. For validation of statistical properties as stability, confidence and stationarity, the time series is split into two 1-year segments: a model period and a test period. Gridded correlation fields between currents and volume transport show correlation maxima in the core of the NwASC, ranging from 0.84 on a daily timescale to 0.97 on a monthly timescale. A more comprehensive correlation/coherence analysis for each current meter record against volume transport on 7-day timescales, enable us to choose the optimal current meter for a linear regression model with (correlation, slope) coefficients of (0.87, 0.13) for the model period and (0.80, 0.13) for the test period. The similarity of the statistical properties for the model and test periods substantiates the stationarity, stability and robustness of the model. A linear regression model underestimates large fluxes and is thus extended to a second degree polynomia. This improves the curve fitting for strong currents with a minor increase in overall correlation, but is more sensistive and less stable. Overall, we find a linear regression model to be more robust and applicable for monitoring the NwASC. The applicability of a linear regression model as an estimator for volume flux of the NwASC is demonstrated using a 2-year time series, and validated against calculated transport. The calculated transport agrees with the statistical analysis and reveals a noisy fit on daily timescale, while the curves coincide well on both 7-and 30-day timescales with correlation coefficients of 0.84 and 0.86, respectively. On all timescales, the calculated and model transport give an overall mean flow of 4.4 Sv and show fluctuations on timescales of days to months, with the seasonal cycle being the most prominent.

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Section: Data and Analysis Methodsmentioning

confidence: 99%

“…We use a regular grid with horizontal resolution of 6 km and vertical resolution of 100 m. From the 15 current meter records we obtain gridded fields by using the velocity component normal to the Svinøy section (v) and the temperature (T). The gridding procedure is performed with a bi-harmonic spline method (Sandwell, 1987).…”

Section: Data and Analysis Methodsmentioning

confidence: 99%

Monitoring the Norwegian Atlantic slope current using a single moored current meter

Orvik

Skagseth

2003

Continental Shelf Research

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“…We adopt Bi-Harmonic Interpolation Spline method [7,8] to fit the co-seismic displacements based on GPS observation data [6] and to reconstruct the incremental displacements and strains in a half space limited by the faults, namely Y>0. Since there are no GPS observations available in the sea, we assumed that a cubic polynomial fitting (consistent with the adopted Bi-Harmonic Interpolation Spline method) of the GPS observations in inland could represent the variations in the region between the coast and the fault, see Figure 2.…”

Section: Methods and Resultsmentioning

confidence: 99%

Co-seismic energy release and relevant region of Tohoku M9.0 earthquake

Xia

et al. 2011

Sci. China Earth Sci.

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“…For example, it has been stated elsewhere [36] that RBF-based reconstructions may be very unstable, computationally complex and memory consuming; the RBF-based reconstructions are only employed when data points are no more than several thousand in number. Typical examples using the tensor product reconstruction methods and Delaunay triangulation method are presented in figure 7 in which the sample result shown in figure 6a is tested.…”

Section: Delaunay Triangulation Reconstructionmentioning

confidence: 99%

Intelligent sampling for the measurement of structured surfaces

Wang¹,

Jiang²,

Blunt³

et al. 2012

Meas. Sci. Technol.

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Abstract. Uniform sampling in metrology has known drawbacks such as coherent spectral aliasing and a lack of efficiency in terms of measuring time and data storage. The requirement for intelligent sampling strategies has been outlined over recent years, particularly where the measurement of structured surfaces is concerned. Most of the present research on intelligent sampling has focused on dimensional metrology using coordinate-measuring machines with little reported in the area of surface metrology. In the research reported here, potential intelligent sampling strategies for surface topography measurement of structured surfaces are investigated by using numerical simulation and experimental verification. The methods include the jittered uniform method, low-discrepancy pattern sampling and several adaptive methods which originate from computer graphics, coordinate metrology and previous research by the authors. By combining the use of advanced reconstruction methods and feature-based characterisation techniques, the measurement performance of the sampling methods is studied using cases studies. The advantages, stability and feasibility of these techniques for practical measurements are discussed.

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Biharmonic spline interpolation of GEOS‐3 and SEASAT altimeter data

Cited by 651 publications

References 8 publications

Monitoring the Norwegian Atlantic slope current using a single moored current meter

Monitoring the Norwegian Atlantic slope current using a single moored current meter

Co-seismic energy release and relevant region of Tohoku M9.0 earthquake

Intelligent sampling for the measurement of structured surfaces

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